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Atlas › Integer Profiles › Node 8,977,400

8,977,400

23 × 52 × 44887
Abundant Even Composite

8,977,400 factors as 2^3 × 5^2 × 44887. Its 24 positive divisors give a proper-divisor sum of 11,895,520, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 44887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,872,920
Proper Divisor Sum 11,895,520
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8977379 ← → #8977433

Radix Representation

Decimal 8977400
Binary 100010001111101111111000 (24 bits)
Octal 0o42175770
Hexadecimal 0x88FBF8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 44,887 89,774 179,548 224,435 359,096 448,870 897,740 1,122,175 1,795,480 2,244,350 4,488,700 8,977,400

Collatz Trajectory (163 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,977,400 4,488,700 2,244,350 1,122,175 3,366,526 1,683,263 5,049,790 2,524,895 7,574,686 3,787,343 11,362,030 5,681,015 17,043,046 8,521,523 25,564,570 12,782,285 38,346,856 19,173,428 9,586,714 4,793,357 14,380,072 7,190,036 3,595,018 1,797,509 5,392,528 2,696,264 1,348,132 674,066 337,033 1,011,100 505,550 252,775 758,326 379,163 1,137,490 568,745 1,706,236 853,118 426,559 1,279,678 639,839 1,919,518 959,759 2,879,278 1,439,639 4,318,918 2,159,459 6,478,378 3,239,189 9,717,568 4,858,784 2,429,392 1,214,696 607,348 303,674 151,837 455,512 227,756 113,878 56,939

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